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Finding the Fourth Proportional to 4,931.51, 6,804.68 and 2,942.15

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Solution

The fourth proportional to 4,931.51, 6,804.68 and 2,942.15 is: 4,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.51 : 6,804.68 = 2,942.15 : x
  2. Step 2: Convert to fraction form
    4,931.51/6,804.68 = 2,942.15/x
  3. Step 3: Cross multiply
    4,931.51x = 6,804.68 × 2,942.15
  4. Step 4: Simplify right side
    4,931.51x = 20,020,340.53
  5. Step 5: Solve for x
    x = 20,020,340.53/4,931.51
  6. Step 6: Final answer
    x = 4,059.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.